1. Write the claim and the null and the alternate hypotheses. 2. Identify the level of significance. 3. Draw a distribution to represent it and identify the critical value. 4. Write the inequality that identifies the rejection area(s). 5. USE YOUR CALCULATOR to find the test statistic and the p-value. 6. Make a decision about your test. 7. Write a sentence describing your decision about the claim. 4. In a study to determine the effectiveness of using a drug to treat multiple sclerosis, 497 subjects were given the drug and 259 subjects were given a placebo. 339 of the subjects who were given the drug did not have any disability progression. 147 of the subjects who were given a placebo had no disability progression. Test the claim that there is a difference in the proportion of subjects who had no disability at $\alpha = 0.01$.
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Null Hypothesis (H0): The proportion of subjects who had no disability progression is the same for both the drug and placebo groups. Alternative Hypothesis (Ha): The proportion of subjects who had no disability progression is different between the drug and placebo Show more…
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A certain drug is used to treat asthma. In a clinical trial of the drug, 21 out of 270 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 9% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. a. Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test b. What is the test statistic? z = (Round to two decimal places as needed.) c. What is the P-value? P-value = (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. A. Null hypothesis: p equals 0.09 B. Null hypothesis: p not equals 0.09 C. Null hypothesis: p less than 0.09 D. Null hypothesis: p greater than 0.09 Decide whether to reject the null hypothesis. Choose the correct answer below. A. Reject the null hypothesis because the P-value is less than or equal to the significance level, alpha. B. Reject the null hypothesis because the P-value is greater than the significance level, alpha. C. Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha. D. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, alpha. e. What is the final conclusion? A. There is not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches. B. There is sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches. C. There is not sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches. D. There is sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.
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A certain drug is used to treat asthma. In a clinical trial of the drug, 16 of 258 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 11% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to complete parts (a) through (e) below. 1-PropZTest prop<0.11 z=-2.463312132 p=0.0068830008 p=0.0620155039 n=258 a. Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test Right-tailed test Two-tailed test b. What is the test statistic? z= -2.463312132 c. What is the P-value? P-value= 0.0068830008 d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. A. H0: p<0.11 B. H0: p=0.11 C. H0: p>0.11 D. H0: p≠0.11 Decide whether to reject the null hypothesis. Choose the correct answer below. A. Fail to reject the null hypothesis because the P-value is greater than the significance level, α. B. Reject the null hypothesis because the P-value is greater than the significance level, α. C. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α. D. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. e. What is the final conclusion? A. There is not sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches. B. There is not sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches. C. There is sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches. D. There is sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches.
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